I need assistance with these questions to add it in my notes

QUESTION 4 Harold and Maude plan to take a cruise that departs from Miami together, but they live in separate cities. Based on their itinerary to Miami, Harold's chance of making it to the cruise is 87%, whereas Maude's is 91%. Assume that the event of Harold making it is independent of the event of Maude making it. What is the probability that none of them makes it to the cruise? O a. 0.87 O b. 0.91 O c. 0.0117 O d. 0.0783 O e. 0.3983 QUESTION 5 Harold and Maude plan to take a cruise that departs from Miami together, but they live in separate cities. Based on their itinerary to Miami, Harold's chance of making it to the cruise is 87%, whereas Maude's is 91%. Assume that the event of Harold making it is independent of the event of Maude making it. Once the cruise ship sails, you come to know that only one of them made it to the cruise. What is the probability that it was Harold (who made it to the cruise)? O a. 0.87 O b. 0.91 O c. 0.0117 O d. 0.0783 O e. 0.3983 QUESTION 6 The Value Line Survey, a service for common stock investors, provides its subscribers with up-to-date evaluations of the prospects and risks associated with the purchase of a large number of stocks. Each stock is ranked 1 (highest) to 5 (lowest) according to Value Line's estimate of the stock's potential for price appreciation during the next 12 months. Suppose you plan to purchase stock in three electrical utility companies from among eight that possess rankings of 2 for price appreciation. Unknown to you, two of the companies will experience serious difficulties with their nuclear facilities during the coming year. If you randomly select the three companies from among the eight, what is the probability that you select both the companies with prospective nuclear difficulties? O a. 15/28 O b. 3/28 O c. 3/14 O d. 5/14 O e. 9/14QUESTION 7 The Value Line Survey, a service for common stock investors, provides its subscribers with up-to-date evaluations of the prospects and risks associated with the purchase of a large number of stocks. Each stock is ranked 1 (highest) to 5 (lowest) according to Value Line's estimate of the stock's potential for price appreciation during the next 12 months. Suppose you plan to purchase stock in three electrical utility companies from among eight that possess rankings of 2 for price appreciation. Unknown to you, two of the companies will experience serious difficulties with their nuclear facilities during the coming year. If you randomly select the three companies from among the eight, what is the probability that you select one of the companies with prospective nuclear difficulties? a. 15/28 O b. 3/28 O c. 3/14 O d. 5/14 O e. 9/14 QUESTION 8 Are black defendants in a murder trial more likely to get the death penalty when the victim is white? The table below shows the outcome (whether the death penalty is imposed or not) of murder trials in Florida between 1976 and 1987 Death Penalty Imposed Death Penalty not Imposed Defendant White Victim Black Victim White Victim Black Victim White 53 414 16 Black 11 37 139 One defendant is selected at random. If the selected defendant is black, what is the probability that the defendant got the death penalty? O a. 0.028 O b. 0.0785 O c. 0.2292 O d. 0.1135 O e. 0.1097